2.3 - Relationship between Zeroes and Coefficients of a Polynomial
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Practice Questions
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Find the zeroes of the polynomial x^2 - 4x + 4.
💡 Hint: Look for perfect squares.
What is the sum of the zeroes of 3x^2 + 6x - 9?
💡 Hint: Use the formula for the sum of zeroes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the sum of the zeroes of the quadratic polynomial 2x^2 + 4x - 10?
💡 Hint: Refer to the formula for sum.
True or False: A quadratic polynomial can have at most 2 zeroes.
💡 Hint: Consider the polynomial degree.
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Challenge Problems
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Show that for a cubic polynomial the sum of the zeroes and the sum of products concept applies for p(x)=x^3 - x^2 - 4x + 4.
💡 Hint: Use synthetic division to find zeroes.
Construct a quadratic polynomial with given zeroes 2 and -3, and verify the relationships.
💡 Hint: Use the standard polynomial form.
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